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Finding the Fourth Proportional to 187,656.81, 258,956.76 and 102,757.47

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Solution

The fourth proportional to 187,656.81, 258,956.76 and 102,757.47 is: 141,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,656.81 : 258,956.76 = 102,757.47 : x
  2. Step 2: Convert to fraction form
    187,656.81/258,956.76 = 102,757.47/x
  3. Step 3: Cross multiply
    187,656.81x = 258,956.76 × 102,757.47
  4. Step 4: Simplify right side
    187,656.81x = 26,609,741,497.00
  5. Step 5: Solve for x
    x = 26,609,741,497.00/187,656.81
  6. Step 6: Final answer
    x = 141,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.